Integration
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Please evaluate the following integral using trigonometric substitution. Please show each step in the solution.
Then evaluate the answer for the limits 0 less than or equal to t less than or equal to ln4
________
Integral e^t dt/ _/(e^2t +9)
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Solution Summary
The integration using trigonometric substitutions evaluations are determined.
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SOLUTION
ln4 _____
To evaluate ∫et dt /√(e2t+9) by trigonometric substitution.
0
In the method of trigonometric substitution, we mostly make use of the following trigonometric identities :
When the function is of the form (x2 - a2) : x = a sinθ. The function (x2 - a2) reduces to : a2 sin2θ - a2 = a2 ...
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